Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 348208, 15 pages
Riemann-Stieltjes Operators between Vector-Valued Weighted Bloch Spaces
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Received 6 June 2008; Revised 1 August 2008; Accepted 11 September 2008
Academic Editor: Jozsef Szabados
Copyright © 2008 Maofa Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be a Banach space, we study
Riemann-Stieltjes operators between -valued weighted Bloch
spaces. Some necessary and sufficient conditions for these operators
induced by holomorphic functions to be weakly compact and weakly
conditionally compact are given by certain growth properties of the
inducing symbols and some structural properties of the abstract
Banach space, which extend some previous results.